434144116334100 has 72 divisors (see below), whose sum is σ = 1256131002970368. Its totient is φ = 115771086041600.

The previous prime is 434144116334039. The next prime is 434144116334101. The reversal of 434144116334100 is 1433611441434.

It is a super-2 number, since 2×434144116334100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144116334101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48124765 + ... + 56429435.

It is an arithmetic number, because the mean of its divisors is an integer number (17446263930144).

Almost surely, 2^{434144116334100} is an apocalyptic number.

It is an amenable number.

434144116334100 is an abundant number, since it is smaller than the sum of its proper divisors (821986886636268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434144116334100 is a wasteful number, since it uses less digits than its factorization.

434144116334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478945 (or 8478938 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 434144116334100 its reverse (1433611441434), we get a palindrome (435577727775534).

The spelling of 434144116334100 in words is "four hundred thirty-four trillion, one hundred forty-four billion, one hundred sixteen million, three hundred thirty-four thousand, one hundred".